891972 has 30 divisors (see below), whose sum is σ = 2332638. Its totient is φ = 297216.

The previous prime is 891967. The next prime is 891983. The reversal of 891972 is 279198.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 876096 + 15876 = 936^2 + 126^2 .

It is a super-2 number, since 2×891972² = 1591228097568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1053 + ... + 1700.

2⁸⁹¹⁹⁷² is an apocalyptic number.

It is an amenable number.

891972 is an abundant number, since it is smaller than the sum of its proper divisors (1440666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

891972 is a wasteful number, since it uses less digits than its factorization.

891972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2758 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 891972 is about 944.4426928088. The cubic root of 891972 is about 96.2610084671.

The spelling of 891972 in words is "eight hundred ninety-one thousand, nine hundred seventy-two".